Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities

被引：30
|
作者：
Belmonte-Beitia, Juan [1 ,2 ]
Perez-Garcia, Victor M. [1 ,2 ]
Brazhnyi, Valeriy [3 ]
机构：
[1] Univ Castilla La Mancha, Escuela Tecn Super Ingn Ind, Dept Matemat, E-13071 Ciudad Real, Spain
[2] Univ Castilla La Mancha, IMACI, E-13071 Ciudad Real, Spain
[3] Univ Porto, Fac Ciencias, Ctr Fis Porto, P-4169007 Oporto, Portugal
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期
关键词：
Nonlinear Schrodinger equations; Solitary waves; Bright and dark solitons; Spatially inhomogeneous nonlinearities; SOLITONS;
D O I：
10.1016/j.cnsns.2010.02.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to construct different families of explicit solutions and study their linear and dynamical stability. (C) 2010 Elsevier B.V. All rights reserved.
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页码：158 / 172
页数：15
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